BMB428Dr. Song TanPhysical Chemistry with Biological ApplicationsFall 20071Problem Set 24: Enzyme Kinetics - the BasicsDue Dec 4, 20071.Consider the following set of elementary steps for an enzyme catalyzed reaction:E + SE•Sk1k-1E•SE + Pk2Using the same techniques that we applied to deriving rate laws for chemical reactions, derive anexpression for d[P]/dt. Your answer should contain the term kkk−+121which we will define as Km, theMichaelis-Menten constant.2.The equation that you derived in question 1 is not particularly useful since it (hopefully) has a termwith the free enzyme concentration, [E]. Since enzyme concentrations are typically VERY low duringsteady state kinetics, it is difficult to determine what fraction of the enzyme has no substrate bound, E,and what fraction is in the E•S form. Fortunately, it is possible to eliminate the [E] term. Use theequation [E]0= [E] + [E•S] to derive a new equation for d[P]/dt. [E]0is the total (initial) enzymeconcentration that is added to the reaction.
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